Manufactured solutions for the three-dimensional Euler equations with relevance to inertial confinement fusion

DOI10.1016/j.jcp.2014.02.040zbMath1349.76928OpenAlexW2060244498MaRDI QIDQ349023

Mohammad Hasan, M. Dambrine

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2014.02.040

zbMATH Keywords

hydrodynamicsICF modelingmethod of manufactured solutions

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Nuclear reactor theory; neutron transport (82D75) Packaged methods for numerical algorithms (65Y15) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (5)

A three-dimensional finite element arbitrary Lagrangian-Eulerian method for shock hydrodynamics on unstructured grids ⋮ On the use of the method of manufactured solutions for the verification of CFD codes for the volume-averaged Navier-Stokes equations ⋮ A high-order vertex-based central ENO finite-volume scheme for three-dimensional compressible flows ⋮ Open-source complex-geometry 3D fluid dynamics for applications with unpredictable heterogeneous dynamic high-performance-computing loads ⋮ On the design of stable, consistent, and conservative high-order methods for multi-material hydrodynamics

Cites Work

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• Verification of variable-density flow solvers using manufactured solutions
• Calculation of complex singular solutions to the 3D incompressible Euler equations
• A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
• Restoration of the contact surface in the HLL-Riemann solver
• A three-dimensional finite element arbitrary Lagrangian-Eulerian method for shock hydrodynamics on unstructured grids
• A comparison of mix models for the Rayleigh-Taylor instability
• Verification of a mixed high-order accurate DNS code for laminar turbulent transition by the method of manufactured solutions
• Curvilinear finite elements for Lagrangian hydrodynamics
• Simplified Second-Order Godunov-Type Methods
• Exact fully 3D Navier–Stokes solutions for benchmarking
• On the Choice of Wavespeeds for the HLLC Riemann Solver
• Verification of Euler/Navier–Stokes codes using the method of manufactured solutions
• Parallel adaptive refinement for unsteady flow calculations on 3D unstructured grids
• Microfluidics simulation using adaptive unstructured grids

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